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White raven [17]
3 years ago
7

if U={natural number less than 10}, M={multiples of 2}, N={factors of 8} and O={even number} then can we write M intersection (N

intersection O) = (M intersection N) intersection O? verify​
Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

u={1,2,3,4,5,6,7,8,9}

m={2,4,6,8}

N={1,2,4,8}

O={2,4,6,8}

Now

M intersection (N intersection O) = (M intersection N) intersection O

or , {2,4,6,8} intersection {2,4,8} ={2,4,8}

intersection {2,4,6,8 }

:. {2,4,8} ={2,4,8}

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Tyler baked 702 cookies. He sold them in boxes of 1i. After selling all the boxes of cookies for the same amount each he earned
ikadub [295]

Answer:

$3.5

Step-by-step explanation:

We have been given that Tyler baked 702 cookies. He sold them in boxes of 18.

First of all we will find the number of boxes of cookies by dividing 702 by 18.

\text{Number of boxes of cookies}=\frac{702}{18}

\text{Number of boxes of cookies}=39

We are told that after selling all the boxes of cookies for the same amount each he earned $136.50. To find the cost of each box we will divide 136.50 by 39.

\text{The cost of one box}=\frac{136.50}{39}

\text{The cost of one box}=3.5

Therefore, the cost of one box of cookies is $3.5.

6 0
3 years ago
A random sample of 60 mathematics majors spent an average of $200.00 for textbooks for a term, with a standard deviation of $22.
tangare [24]

Answer:

20 +/- $6.74

= ( $13.26, $26.74)

The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x1-x2 +/- margin of error

x1-x2 +/- z(√(r1^2/n1 + r2^2/n2)

Given that;

Mean x1 = $200

x2 = $180

Standard deviation r1 = $22.50

r2 = $18.30

Number of samples n1 = 60

n2 = 40

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$200-$180 +/-1.645(√(22.5^2/60 +18.3^2/40)

$20 +/- 6.744449847374

$20 +/- $6.74

= ( $13.26, $26.74)

The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)

3 0
3 years ago
What is an equation of the line that passes through the points (5, 2) and (-5, 6)?
olga nikolaevna [1]

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

6 0
2 years ago
A 6-pound watermelon costs $2.40 before a 30% discount. Which equation will allow you to find the discounted price of the waterm
V125BC [204]

Answer:

$1.68

Step-by-step explanation:

2.40 x .70 =1.68

8 0
3 years ago
Read 2 more answers
Given four functions, which one will have the highest y-intercept?
beks73 [17]
<span>The y-intercept of a function is given by the initial value of a function. It is the value of the function when x = 0.

Given the functions

A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.

B.
x    g(x)
0    6
1    2
2   10

The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.


C. The function h of x equals 4 to the x power, plus 3
When x = 0, h(x)=4^0+3=1+3=4
Thus the y-intecept is 4.

D. j(x) = 10(2)^x
when x = 0, j(x)=10(2)^0=10(1)=10
Thus, the y-intercept is 10.

Thereforen the function with the highest y-intercept is j(x)=10(2)^x which has a y-intercept of 10.
</span>
6 0
3 years ago
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